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Finding the Third Proportional to 2,277 and 2,565

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Solution

The third proportional to 2,277 and 2,565 is: 2,889.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277 : 2,565 = 2,565 : x
  2. Step 2: Convert to fraction form
    2,277/2,565 = 2,565/x
  3. Step 3: Cross multiply
    2,277x = 2,565 × 2,565
  4. Step 4: Simplify right side
    2,277x = 6,579,225
  5. Step 5: Solve for x
    x = 6,579,225/2,277
  6. Step 6: Final answer
    x = 2,889.43

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.